56341798703424 has 1792 divisors, whose sum is σ = 201671285760000. Its totient is φ = 15255702798336.

The previous prime is 56341798703419. The next prime is 56341798703429. The reversal of 56341798703424 is 42430789714365.

56341798703424 is a `hidden beast` number, since 5 + 6 + 34 + 179 + 8 + 7 + 0 + 3 + 424 = 666.

It is an interprime number because it is at equal distance from previous prime (56341798703419) and next prime (56341798703429).

It is a super-2 number, since 2×56341798703424² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56341798703429) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 51547848222 + ... + 51547849314.

It is an arithmetic number, because the mean of its divisors is an integer number (112539780000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅56341798703424 = 112683597406848, but 3⋅56341798703424 = 169025396110272 is not.

Almost surely, 2^{56341798703424} is an apocalyptic number.

56341798703424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56341798703424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100835642880000).

56341798703424 is an abundant number, since it is smaller than the sum of its proper divisors (145329487056576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56341798703424 is a wasteful number, since it uses less digits than its factorization.

56341798703424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 56341798703424 in words is "fifty-six trillion, three hundred forty-one billion, seven hundred ninety-eight million, seven hundred three thousand, four hundred twenty-four".